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All Topics Algebra Calculus Number Theory Combinatorics Applied Math
Algebra
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Difference of Squares

Factorize: $$a^2 - 64$$

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Algebra
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Fraction Simplification

Simplify completely: $$\frac{a^2-b^2}{a+b}$$

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Algebra
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Logarithmic Base Change

Calculate: $$\log_2(8) + \log_3(27)$$

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Algebra
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The Alpine Ascent

An alpinist hikes up a $12$ km mountain trail at a velocity of $v$ …

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Algebra
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The Golden Polynomial

Determine the exact, strictly positive root of the quadratic equation: $$x^2 - x - …

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Algebra
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Vieta's Application

Let $r_1$ and $r_2$ be the roots of the polynomial equation $3x^2 - 12x …

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